The first thing to do in this case is to draw the ordered pairs in the Cartesian plane and join the points.
We have then that the resulting figure is a rectangle.
We must find the perimeter of the rectangle that is given by:
P = 2L + 2W
Where,
L: long
W: width
Restoring the values:
P = 2 * (5) + 2 * (3)
P = 16
Answer: her route cover 16 miles.
Answer:
The coefficient of correlation is 0.7098.
Step-by-step explanation:
The correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.
The formula to compute the correlation coefficient is:
![r=\frac{n\cdot \sum XY-\sum X\cdot \sum Y}{\sqrt{[n\cdot\sum X^{2}-(\sum X)^{2}][n\cdot\sum Y^{2}-(\sum Y)^{2}]}}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bn%5Ccdot%20%5Csum%20XY-%5Csum%20X%5Ccdot%20%5Csum%20Y%7D%7B%5Csqrt%7B%5Bn%5Ccdot%5Csum%20X%5E%7B2%7D-%28%5Csum%20X%29%5E%7B2%7D%5D%5Bn%5Ccdot%5Csum%20Y%5E%7B2%7D-%28%5Csum%20Y%29%5E%7B2%7D%5D%7D%7D)
The required values are computed in the Excel sheet attached below.
Compute the value of <em>r</em> as follows:
![r=\frac{n\cdot \sum XY-\sum X\cdot \sum Y}{\sqrt{[n\cdot\sum X^{2}-(\sum X)^{2}][n\cdot\sum Y^{2}-(\sum Y)^{2}]}}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bn%5Ccdot%20%5Csum%20XY-%5Csum%20X%5Ccdot%20%5Csum%20Y%7D%7B%5Csqrt%7B%5Bn%5Ccdot%5Csum%20X%5E%7B2%7D-%28%5Csum%20X%29%5E%7B2%7D%5D%5Bn%5Ccdot%5Csum%20Y%5E%7B2%7D-%28%5Csum%20Y%29%5E%7B2%7D%5D%7D%7D)
![=\frac{(6\cdot 4877.5)-(303.3\cdot 96.3)}{\sqrt{[(6\cdot15367.3)-(303.3)^{2}][(6\cdot1550.7)-(96.3)^{2}]}}\\\\=\frac{57.21}{80.597}\\\\=0.70983\\\\\approx 0.7098](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%286%5Ccdot%204877.5%29-%28303.3%5Ccdot%2096.3%29%7D%7B%5Csqrt%7B%5B%286%5Ccdot15367.3%29-%28303.3%29%5E%7B2%7D%5D%5B%286%5Ccdot1550.7%29-%2896.3%29%5E%7B2%7D%5D%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B57.21%7D%7B80.597%7D%5C%5C%5C%5C%3D0.70983%5C%5C%5C%5C%5Capprox%200.7098)
Thus, the coefficient of correlation is 0.7098.
Answer:
50, 60, 70: More than one triangle
60, 15, 15: A unique triangle
80m, 65m, 20m: No triangle
Answer:
They both factored it correctly
Step-by-step explanation:
To find the one that was factored correctly, we expand the two of them and compare with
.
Fernando

= 
= 
Salma

= 
= 
As we can see, they both factored it correctly.
Hope this is what you need